The 86/92/94 design is a real pain to remove the bolt! I have done it enough to be used to it by now, but a Marlin is a lot easier to tale apart.
For normal field and end of day cleaning on 44 and 45's I use a 12 gauge jag with a 12 gauge patch, and run them through so they "Fluff out" behind the chamber and pull them into the chamber and spin them around to work on the chamber.
For end of season or other detail cleaning I pull the bolt and clean from the rear. If the chamber needs serious scrubbing, I use a 28 gauge bronze brush! It cures what ever ails even 38-40 and 44-40 chambers!
Interesting but unrelated: I noticed several of the 92's I bought used were difficult but not impossible to close lever the last 1/4". After checking almost every possible solution I pulled the lever latch apart. [Capture the latch with a C-clamp before drifting the retaining pin!] On 4 of the 92's. the coil spring was full of grime and grit! The spring was also 3 times longer than the depth of the hole! I cleaned out the hole and cut the spring to twice the depth of the hole and reassembled. It is much easier on the hand in a long day of Cowboy shooting, and is still a very firm retention of the lever! This is now a standard part of any lever action job I do! (after 15 years, never a problem or complaint!)
Ivan